Suppose you invest 18,400.00 into an account earning an interest rate of 2.991% compounded continuously for 2 year(s) and thereafter earning an interest rate of 4.192%compounded yearly. How much money is in the account after 9 years?

Answers

Answer 1

[tex]~~~~~~ \stackrel{\textit{for the first 2 years}}{\textit{Continuously Compounding Interest Earned Amount}} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$18400\\ r=rate\to 2.991\%\to \frac{2.991}{100}\dotfill &0.02991\\ t=years\dotfill &2 \end{cases} \\\\\\ A = 18400e^{0.02991\cdot 2}\implies A = 18400e^{0.05982}\implies A\approx 19534.276[/tex]

now let's grab that amount and invest it for the remaining 7 years at 4.192% compounded.

[tex]~~~~~~ \stackrel{\textit{for the last 7 years}}{\textit{Compound Interest Earned Amount}}\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\quad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount deposited}\dotfill &\$19534.276\\r=rate\to 4.192\%\to \frac{4.192}{100}\dotfill &0.04192\\n=\begin{array}{llll}\textit{times it compounds per year}\\\textit{yearly meaning once}\end{array}\dotfill &\\t=years\dotfill &7\end{cases}[/tex]

[tex]A=19534.276\left(1+\frac{0.04192}{1} \right)^{1\cdot 7}\implies \boxed{A\approx 26039.82}[/tex]


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262.25 $

Step-by-step explanation:

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Answer:

1

Step-by-step explanation:

2/7+5/7=7/7=1 because 7/7 would be a 1 whole

Answer:

35/7

Step-by-step explanation:

4 = 28/7

28/7 + 2/7 + 5/7 = 35/7

What is the output of a function when tha input is -9

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Answer: f(-9)

Step-by-step explanation:

A function is described in the form of f(x)

Therefore, if this is how a function is stated we have x as the input.

Here, the x is equal to -9

So now:

f(-9) after substitution.

Julie has 300ml of juice, She gives of the juice away.
How much juice does she give away?

Answers

Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.

Step-by-step explanation:

HELPP!!! I have a root test for a series but it's in n/2 power, help me out please ?

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The answer is square root of 2/5

This population chart represents linear or exponential growth?

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•exponential

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This is Linear graph.

Linear graph is represented in the form of a straight line. ... If the graph of any relation gives a single straight line then it is known as a linear graph. The word "linear" stands for a straight line. The linear graph is a straight line graph that is drawn on a plane connecting the points plotted on x and y coordinates.

- BRAINLIEST answerer

help asap whoever right get brainiest

Answers

Answer:

EF

Step-by-step explanation:

I think the answer is EF because turning the line counterclockwise and 80 degree angle would be that.

Ayaan travels 90 miles at an average speed of 60 mph.
She then travels a further 40 miles.
The average speed for the entire journey is 59 mph.
Assuming Ayaan didn't stop, what was her average speed for the final 40 miles to 2 dp?

Answers

Step-by-step explanation:

Speed = distance / time

Thereafter,

Distance :-

90 miles + 40 miles = 130 miles

Time :-

90 / 60 + 59 = 60.5 mph

Average Speed :-

130 / 60.5 = 2.148

Write the equation of the line that passes through the points (8,3) and (7,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line

Answers

Step-by-step explanation:

the equation :

(y-3)/(3-3) = (x-8) /(7-8)

(y-3) /0 = (x-8) /(-1)

(-1)(y-3) = 0(x-8)

-y +3 = 0

y = 3

(this is a horizontal line)

Answer:

y = 3 (Horizontal line)

Step-by-step explanation:

point: (8, 3) and (7, 3)

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y - 3)/(3 - 3) = (x - 8)/(7 - 8)

(y - 3)/0 = (x - 8)/(-1)

(-1)(y - 3) = 0

-y + 3 = 0

-y = - 3

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1.
Find the value of 5x? if x = -3.

Answers

Answer:

-15

Step-by-step explanation:

5 * -3 = -15

x = -3

5x = 5(-3)

5(-3) = -15

What is the y-intercept of the line shown?

Answers

Answer: 4

Step-by-step explanation:

It crosses on the y axis at the point (0,4)

Answer:

4

Step-by-step explanation:

The y-intercept of the line shown is 4.

Hope this helps :)

If your income is constant, what will happen to your savings when your expenses increase?

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Answers

Okay, suppose your income is about $100.

You might spend $70 & save $30.

Now, suppose your income remains constant at $100 but your expenses go up to, say, $90. You can see that your savings will reduce or decrease. Now, you'll only have about $10 to save.

=》 So, if your income is constant, then your savings will 'decrease' when your expenses increase.

_______

RainbowSalt2222 ☔

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Answer:

what

Step-by-step explanation:

Answer:

Appologies but Why do you have pOn open?

Step-by-step explanation:

umm that is inapropriate but idrc

What is the equation of this line?
A. y= x - 3 =
B. y=-x-3 =
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do you have a picture of the line ?

A rectangular prism has a length width and height of 2/3

Answers

Step-by-step explanation:

A rectangular prism has a length, width, and height of 2/3 inch, 3/5 inch, and 4/7 inch, respectively.

The volume of the rectangular prism is

24/105

cubic inch.

The question in the image! Please hurry :D

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Answer:

8.85 * 10 ^17

Step-by-step explanation:

8.2 * 10 ^17 + 6.5 * 10 ^16

They must be to the same power to add

8.2 * 10 ^17 + .65 * 10 ^17

Add

8.85 * 10 ^17

help please im mark brainliest I just need to get this finish asap!

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Answer:

See below

Step-by-step explanation:

1. A

2. F

3. G

4. I

Solve for x: 49.98+12x=61.98+7x

Answers

Answer:

X=2.436

Step-by-step explanation:

A. Direction: Arrange the given number tiles in a correct order to make it divisible to the given number. Apply the divisibility rules. Given Answer 3 8 4 3 2 9 1 6 8 3 8 3 8 0 5 1. Divisible by 8 2. Divisible by 4 3. Divisible by 11 4. Divisible by 12 5. Divisible by 4 6. Divisible by 8 7. Divisible by 11 8. Divisible by 12 9. Divisible by 4 10. Divisible by 8 7. 2 5 4 5 9 1 0 4 7 6 4 1 6 2 1​

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GIVING OUT BRAINLY IF U ANSWER
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Answer:

it is a b and c

Step-by-step explanation:

Mathew basketball team won 68% of the games they played if they won 17 games how many did they play

Answers

Answer:

25

Step-by-step explanation:

turn 68% into a decimal (or keep as a percentage, your choice) and divide

17 divided by 0.68 (68% as a decimal) = 25

Need help with this 3 questions

Answers

Answer:

  68. (-1, 0)

  69. (0, 2)

  70. (2, -1)

Step-by-step explanation:

The solution is the ordered pair (x, y) where the lines intersect. The graphs have no scale, so we must assume 1 grid space corresponds to 1 unit.

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  (x, y) = (-2, 0)

__

69. The point of intersection is 2 up from the origin on the y-axis: y = 2, x = 0.

  (x, y) = (0, 2)

__

70. The point of intersection is 2 right and 1 down from the origin: x = 2, y = -1.

  (x, y) = (2, -1)

_____

It is a good idea to learn to read the coordinates of a point from a graph. You will be doing it a lot in your math courses.


[tex] \frac{dh}{dt} = - \sqrt{5h} [/tex]

Determine
[tex] \frac{ {d}^{2}h }{d {t}^{2} } [/tex]
at h=16


I have attempted this and keep on getting about -0.28, but that is not an option.​

Answers

If

[tex]\dfrac{dh}{dt} = -\sqrt{5h} = -\sqrt{5} \cdot h^{\frac12}[/tex]

then its derivative, using the power rule, is

[tex]\dfrac{d^2h}{dt^2} = -\sqrt{5} \cdot \dfrac12 h^{1-\frac12} = -\dfrac{\sqrt5}2 h^{-\frac12} = -\dfrac{\sqrt5}{2\sqrt h} = -\sqrt{\dfrac{5}{4h}}[/tex]

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[tex]-\sqrt{\dfrac{5}{4\cdot16}} = -\sqrt{\dfrac{5}{64}} = -\dfrac{\sqrt5}{8} \approx -0.279508[/tex]

Your answer is essentially correct. Either what you submitted doesn't have enough precision or you're expected to give an exact answer (-√5/8).

g(x)=x^2-6/3x+10 g(4)=?

Answers

Answer:

g(4) = [tex]\frac{5}{11}[/tex]

Step-by-step explanation:

Substitute x = 4 into g(x) , that is

g(4) = [tex]\frac{4^2-6}{3(4)+10}[/tex] = [tex]\frac{16-6}{12+10}[/tex] = [tex]\frac{10}{22}[/tex] = [tex]\frac{5}{11}[/tex]

>> Answer

_______

[tex] \: [/tex]

[tex] \sf{g(x) = \frac{ {x}^{2} - 6 }{3x + 10} }[/tex]

[tex] \sf{g(4) = \frac{ {4}^{2} - 6 }{3(4) + 10}} [/tex]

[tex] \sf{g(4) = \frac{16 - 6}{12 + 10}} [/tex]

[tex] \sf{g(4) = \frac{10}{22}} [/tex]

[tex] \sf{g(4) = \bold{\frac{5}{11}} }[/tex]

Find the volume of the following square pyramid.

Answers

Check the picture below.

[tex]\textit{volume of a pyramid}\\ V = \cfrac{Bh}{3}~~ \begin{cases} B = \stackrel{\textit{area of its base}}{50\times 50}\\ h = \stackrel{\textit{its height}}{60} \end{cases}\qquad \implies V = \cfrac{50\cdot 50\cdot 60}{3}\implies \boxed{V= 50000}[/tex]

The volume of a gas in cubic centimeters, V, varies inversely with the
pressure of the gas in liters per square centimeter, p.
When the volume of the gas is 16 cm, its pressure is 20 L/cm2. Find the
volume of the gas when the pressure is 2.5 L/cm2
A. 322.5 cm
B. 800 cm3
C. 128 cm3
D. 0.008 cm

Answers

Answer:

C. 128 cm³

Step-by-step explanation:

16(20) = 320

320/2.5 = 128 cm³

help pls//////////////////

Answers

Answer:

  x = 6

Step-by-step explanation:

12(x -2) +3x = 1/3(x +12) +10x

12x -24 +3x = 1/3x +4 +10x . . . . . eliminate parentheses

15x = (10 1/3)x +28 . . . . . . . . . . add 24, collect terms

(4 2/3)x = 28 . . . . . . . . . . . . . subtract 10 1/3

x = (3/14)(28) = 6 . . . . . . . . multiply by 1/(4 2/3) = 3/14

The value x=6 satisfies the equation.

(-7)(1.2) multiplying rational numbers

Answers

Answer:

-119

Step-by-step explanation:

Answer:

-8.4

Step-by-step explanation:

-7 x 1.2

HEHEHEHE HELP LOL IM NOT SMART ENOUGH FOR THIS 3

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a is an absolute value if it is greater than zero. This simply means that an absolute value number will always be greater than zero. This is because absolute value is the distance from 0 on a number line. Keep in mind that distance cannot be negative. For example, look at the numbers 5 and -5. 5 is 5 spaces from 0, and -5 is also 5 spaces from 0, not -5 spaces from 0. Put simply, an absolute value number that is greater than 0, will always be positive.

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